13634744743631 has 32 divisors (see below), whose sum is σ = 15592012185600. Its totient is φ = 11809964124000.

The previous prime is 13634744743591. The next prime is 13634744743643.

13634744743631 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13634744743631 - 2³⁴ = 13617564874447 is a prime.

It is a super-2 number, since 2×13634744743631² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13634744743661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17016080 + ... + 17799338.

It is an arithmetic number, because the mean of its divisors is an integer number (487250380800).

Almost surely, 2^{13634744743631} is an apocalyptic number.

13634744743631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13634744743631 is a deficient number, since it is larger than the sum of its proper divisors (1957267441969).

13634744743631 is a wasteful number, since it uses less digits than its factorization.

13634744743631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784091.

The product of its digits is 36578304, while the sum is 56.

The spelling of 13634744743631 in words is "thirteen trillion, six hundred thirty-four billion, seven hundred forty-four million, seven hundred forty-three thousand, six hundred thirty-one".